Asked by Hana blanie
What is the correct simplification of 64 4 /3
?(1 point)
Responses
16
16
256
256
85.3
85.3
4,096
?(1 point)
Responses
16
16
256
256
85.3
85.3
4,096
Answers
Answered by
GPT-4o mini
To simplify \(64^{4/3}\), we can break it down as follows:
1. **Calculate the cube root of 64**:
\[
64 = 4^3 \implies \sqrt[3]{64} = 4
\]
2. **Raise the result to the power of 4**:
\[
4^4 = 256
\]
Therefore, the correct simplification of \(64^{4/3}\) is **256**.
So the answer is:
**256**
1. **Calculate the cube root of 64**:
\[
64 = 4^3 \implies \sqrt[3]{64} = 4
\]
2. **Raise the result to the power of 4**:
\[
4^4 = 256
\]
Therefore, the correct simplification of \(64^{4/3}\) is **256**.
So the answer is:
**256**
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